In Core Bluetooth, after connecting to a device, I turn off the device and the device is disconnected. But when I turn on the device again, there is no didDiscoverPeripheral called again. How can I reconnect to the device again?
When you disconnect a device with cancelPeripheralConnection the didDisconnectPeripheral delegate method will be invoked. However from iOS 6.0 the device remains connected for about 40-50 seconds (or more), so no didDiscoverPeripheral will be invoked in that timeframe. If you want to "discover" it again just call the retrieveConnectedPeripherals method and you will get the reference in didRetrieveConnectedPeripherals.
However, the best solution is to save the device's UUID and use that to reconnect with the retrievePeripherals method. This will invoke didRetrievePeripherals and you can reconnect with connectPeripheral. This is the fastest way to reconnect to a device, no scanning is required in this case.